Question

given that $2 log_{3} (x+y) = 2+log_{3}x +log_{3} y$ , show that$x^{2} + y^{2} = 7xy$

Answer 1

For explaination , please refer to the attachment .

Note:

★ If log_b(N) = a , then N = b^a

★ log(A×B) = logA + logB

★ log(A/B) = logA - logB

★ log(Nⁿ) = n(logN)